101100111100101 has 32 divisors (see below), whose sum is σ = 150005010384000. Its totient is φ = 67297901224320.

The previous prime is 101100111100063. The next prime is 101100111100117. The reversal of 101100111100101 is 101001111001101.

It is not a de Polignac number, because 101100111100101 - 2²⁹ = 101099574229189 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101100111100151) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 546102250 + ... + 546287348.

It is an arithmetic number, because the mean of its divisors is an integer number (4687656574500).

Almost surely, 2^{101100111100101} is an apocalyptic number.

It is an amenable number.

101100111100101 is a deficient number, since it is larger than the sum of its proper divisors (48904899283899).

101100111100101 is a wasteful number, since it uses less digits than its factorization.

101100111100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215666 (or 215660 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 101100111100101 its reverse (101001111001101), we get a palindrome (202101222101202).

The spelling of 101100111100101 in words is "one hundred one trillion, one hundred billion, one hundred eleven million, one hundred thousand, one hundred one".